3(x-3)=5(1.5x+x)

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Solution for 3(x-3)=5(1.5x+x) equation:


Simplifying
3(x + -3) = 5(1.5x + x)

Reorder the terms:
3(-3 + x) = 5(1.5x + x)
(-3 * 3 + x * 3) = 5(1.5x + x)
(-9 + 3x) = 5(1.5x + x)

Combine like terms: 1.5x + x = 2.5x
-9 + 3x = 5(2.5x)

Remove parenthesis around (2.5x)
-9 + 3x = 5 * 2.5x

Multiply 5 * 2.5
-9 + 3x = 12.5x

Solving
-9 + 3x = 12.5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12.5x' to each side of the equation.
-9 + 3x + -12.5x = 12.5x + -12.5x

Combine like terms: 3x + -12.5x = -9.5x
-9 + -9.5x = 12.5x + -12.5x

Combine like terms: 12.5x + -12.5x = 0.0
-9 + -9.5x = 0.0

Add '9' to each side of the equation.
-9 + 9 + -9.5x = 0.0 + 9

Combine like terms: -9 + 9 = 0
0 + -9.5x = 0.0 + 9
-9.5x = 0.0 + 9

Combine like terms: 0.0 + 9 = 9
-9.5x = 9

Divide each side by '-9.5'.
x = -0.9473684211

Simplifying
x = -0.9473684211

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